GATE Practice Question and Answer
8Q: _ tu _ rt _ s _ _ usrtu _ 3351 05b5cc6d9e4d2b4197774e843
5b5cc6d9e4d2b4197774e843- 1rsutrrfalse
- 2rsurtrfalse
- 3rsurtstrue
- 4rtusrufalse
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Answer : 3. "rsurts"
Explanation :
Answer: C) rsurts Explanation: The series rtus/rtus/rtus/rtus. Thus, the pattern 'rtus' is repeated.
Q: Find the next number in the given number series? 50, 51, 47, 56, 40, ? 3347 05b5cc669e4d2b4197774bf52
5b5cc669e4d2b4197774bf52- 158false
- 265true
- 376false
- 481false
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Answer : 2. "65"
Explanation :
Answer: B) 65 Explanation: The given number series is 50, 51, 47, 56, 40, ? 5050 + 12 = 5151 - 22 = 4747 + 32 = 5656 - 42 = 4040 + 52 = 65 Hence, the next number in the given number series is 65.
Q: A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ? 3346 05b5cc6dce4d2b4197774e9ab
5b5cc6dce4d2b4197774e9ab- 131 minfalse
- 229 minfalse
- 328 minfalse
- 430 mintrue
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Answer : 4. "30 min"
Explanation :
Answer: D) 30 min Explanation: Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24Suppose the tank is filled in x minutes.Then, x/2(1/24 + 1/40) = 1(x/2) * (1/15) = 1 => x = 30 min.
Q: fifteen persons are sitting around a circular table facing the centre. What is the probability that three particular persons sit together ? 3344 05b5cc731e4d2b4197774f7dd
5b5cc731e4d2b4197774f7dd- 13/91true
- 22/73false
- 31/91false
- 43/73false
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Answer : 1. "3/91"
Explanation :
Answer: A) 3/91 Explanation: In a circle of n different persons, the total number of arrangements possible = (n - 1)!Total number of arrangements = n(S) = (15 – 1)! = 14 !Taking three persons as a unit, total persons = 13 (in 4 units)Therefore no. of ways for these 13 persons to around the circular table = (13 - 1)! = 12!In any given unit, 3 particular person can sit in 3!. Hence total number of ways that any three person can sit =n(E) = 12! X 3!Therefore P (E) = probability of three persons sitting together = n(E) / n(S) = 12! X 3 ! / 14!= 12!x3x2 / 14x13x12! = 6/14x13 = 3/91
Q: Which sentence is Punctuated correctly? 3341 05b5cc6b3e4d2b4197774d468
5b5cc6b3e4d2b4197774d468- 1The conference was only supposed to be an hour; however, it ran for nearly two and half hours.true
- 2The conference was only supposed to be an hour, however; it ran for nearly two and half hours.false
- 3The conference was only supposed to be an hour. however, it ran for nearly two and half hours.false
- 4The conference was only supposed to be an hour; however it ran for nearly two and half hours.false
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Answer : 1. "The conference was only supposed to be an hour; however, it ran for nearly two and half hours."
Explanation :
Answer: A) The conference was only supposed to be an hour; however, it ran for nearly two and half hours. Explanation: The correct punctuated sentence is A The conference was only supposed to be an hour; however, it ran for nearly two and half hours.
Q: A periscope works by the principle of 3341 05b5cc678e4d2b4197774c183
5b5cc678e4d2b4197774c183- 1Total internal reflectiontrue
- 2Refractionfalse
- 3Diffractionfalse
- 4Reflection & Refractionfalse
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Answer : 1. "Total internal reflection"
Explanation :
Answer: A) Total internal reflection Explanation: A periscope is an optical instrument that uses a system of prisms, lenses, or mirrors to reflect images through a tube. Light from a distant object strikes the top mirror and is then reflected at an angle of 90 degrees down the periscope tube. At the bottom of the periscope, the light strikes another mirror and is then reflected into the viewer’s eye. Hence, A periscope works by the principle of Total internal reflection.
Q: A Woman’s downstream swimming rate is thrice of her upstream swimming rate. If she covers 12 km upstream in 2.5 hours, what distance she will cover in 5 hours downstream? 3335 05b5cc639e4d2b4197774ba82
5b5cc639e4d2b4197774ba82- 172 kmtrue
- 236 kmfalse
- 356 kmfalse
- 442 kmfalse
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Answer : 1. "72 km"
Explanation :
Answer: A) 72 km Explanation: Rate of her upstream = 12/2.5 = 4.8 km/hr Then, ATQ Rate of downstream = 4.8 x 3 = 14.4 km/hr Hence, the distance she covers downstream in 5 hrs = 14.4 x 5 = 72 kms.
Q: K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ? 3325 15b5cc6f8e4d2b4197774f081
5b5cc6f8e4d2b4197774f081- 1120 daysfalse
- 2119 daysfalse
- 3118 daysfalse
- 4117 daystrue
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Answer : 4. "117 days"
Explanation :
Answer: D) 117 days Explanation: K's work in a day(1st day) = 1/30L's work in a day(2nd day)= -1/60(demolishing)hence in 2 days, combined work= 1/30 - 1/60 =1/60since both works alternatively, K will work in odd days and L will work in even days.1/60 unit work is done in 2 days58/60 unit work will be done in 2 x 58 days = 116 daysRemaining work = 1-58/60 = 1/30Next day, it will be K's turn and K will finish the remaining 1/30 work.hence total days = 116 + 1 = 117.

